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M2 Tutorials

M2 Tutorials – MEI A Level Maths

Friction

Friction

  1. What is friction, limiting equilibrium and the coefficient of friction?
  2. Exam Questions - Friction

Equlibrium of a rigid body

Moments

  1. What is the moment of a force?
  2. Horizontal beams in equilibrium resting on supports
  3. Exam Questions - Moments horizontal beams
  4. Tilting beam

Centre of Mass

A System of Particles

  1. Centre of mass of a system of particles in a line
  2. Centre of mass of a system of particles in a plane

Uniform Laminas

  1. Centre of mass of a uniform lamina that has lines of symmetry
  2. Triangular laminas
  3. Sectors and semi-circles

Composite Laminas

  1. Rectangles
  2. Rectangle + triangle
  3. Rectangle + semi-circle
  4. Rectangle with circle removed

Wire Frameworks

  1. Wire framework consisting of a rectangle and triangle

Hanging and Toppling Problems

  1. Freely hanging suspended lamina
  2. Lamina toppling on an inclined plane

Solids

  1. Centre of mass of solids

Work, Energy and Power

Work done by a force acting on a particle

  1. Moving in the horizontal plane with and without friction
  2. Moving in the vertical plane against gravity
  3. Moving up a rough inclined plane against friction and against gravity

Energy

  1. Gravitational potential energy
  2. Kinetic energy

Conservation of mechanical energy / Work-Energy Principle

  1. Conservation of energy / work energy principle
  2. Motion down a smooth plane
  3. Motion down a rough plane
  4. Motion down an undulating slope

Power

  1. Calculating the power developed by an engine
  2. Car accelerating along the horizontal and then up a hill

Momentum and impulse

Momentum and impulse

  1. Collisions and the conservation of linear momentum
  2. Two particles colliding and then separating
  3. Two particles colliding and moving off as one particle
  4. A bullet being fired from a gun
  5. Exam Questions - Momentum

Impulse (Vector form)

  1. Impulse
  2. Exam Questions - Momentum and impulse
  3. Impulse in vector form
  4. Exam Questions - Impulse (vector form)

Newton’s Law of Restitution

  1. Newtons law of restitution (experimental law)
  2. Collision between two particles
  3. Collision with a fixed surface
  4. Exam Questions - Newton's law of restitution

Oblique Impact

  1. Oblique impact with a smooth wall

Frameworks

Frameworks

  1. Frameworks